On the Nonlinear Oscillations of Viscoelastic Plates

Abstract

Abstract Equations of motion of the three-dimensional finite oscillation theory are integrated across the plate thickness to obtain a second-order theory of oscillations for plates. For this purpose, components of the displacement vector are assumed to have power-series expansions in the transverse co-ordinate, and a systematic perturbation procedure in a nondimensional thickness parameter is used. Stress-strain relations include the hereditary damping.